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313413047 is a prime number
BaseRepresentation
bin10010101011100…
…100110110110111
3210211202000212122
4102223210312313
51120213204142
651033310155
710523652443
oct2253446667
9724660778
10313413047
11150a05952
1288b6535b
134cc1600c
142d8a5823
151c7ad1d2
hex12ae4db7

313413047 has 2 divisors, whose sum is σ = 313413048. Its totient is φ = 313413046.

The previous prime is 313413043. The next prime is 313413073. The reversal of 313413047 is 740314313.

It is an a-pointer prime, because the next prime (313413073) can be obtained adding 313413047 to its sum of digits (26).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 313413047 - 22 = 313413043 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313413043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156706523 + 156706524.

It is an arithmetic number, because the mean of its divisors is an integer number (156706524).

Almost surely, 2313413047 is an apocalyptic number.

313413047 is a deficient number, since it is larger than the sum of its proper divisors (1).

313413047 is an equidigital number, since it uses as much as digits as its factorization.

313413047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 313413047 is about 17703.4755627250. The cubic root of 313413047 is about 679.2646657555.

The spelling of 313413047 in words is "three hundred thirteen million, four hundred thirteen thousand, forty-seven".